40601469168 has 240 divisors, whose sum is σ = 125291668320. Its totient is φ = 12196694016.

The previous prime is 40601469143. The next prime is 40601469197. The reversal of 40601469168 is 86196410604.

It is a super-2 number, since 2×40601469168² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22719571 + ... + 22721357.

It is an arithmetic number, because the mean of its divisors is an integer number (522048618).

Almost surely, 2^40601469168 is an apocalyptic number.

40601469168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40601469168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62645834160).

40601469168 is an abundant number, since it is smaller than the sum of its proper divisors (84690199152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40601469168 is a wasteful number, since it uses less digits than its factorization.

40601469168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40601469168 in words is "forty billion, six hundred one million, four hundred sixty-nine thousand, one hundred sixty-eight".